Pith Number

pith:2ZHWXSB6

pith:2025:2ZHWXSB65JXM3V7IGORTLFSFWP

not attested not anchored not stored refs pending

Integration of monomials over the unit spere and unit ball in $R^n$

Alberto Torchinsky, Calixto P. Calderon

arxiv:2501.08493 v1 · 2025-01-14 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ZHWXSB65JXM3V7IGORTLFSFWP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T10:01:03.528889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d64f6bc83eea6ecdd7e833a3359645b3d8a24a0ef586b1d47e36a7f58de53926

Aliases

arxiv: 2501.08493 · arxiv_version: 2501.08493v1 · doi: 10.48550/arxiv.2501.08493 · pith_short_12: 2ZHWXSB65JXM · pith_short_16: 2ZHWXSB65JXM3V7I · pith_short_8: 2ZHWXSB6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2ZHWXSB65JXM3V7IGORTLFSFWP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d64f6bc83eea6ecdd7e833a3359645b3d8a24a0ef586b1d47e36a7f58de53926

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bce324fe67c5a8dff2468d353f33ae521db6366afe1ef0677fff7085ace0f03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-01-14T23:50:04Z",
    "title_canon_sha256": "dfa4b5a490be3d93c6ae42f6ebcd7e3b48dc2545c14a44f1a405455fdab581b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.08493",
    "kind": "arxiv",
    "version": 1
  }
}